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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
Coming Home Your Way offers college and university students
returning from an education-abroad experience a wealth of pertinent
information, opportunities for meaningful reflection, and practical
guidance on making the most of their time abroad. Grounded in
research and addressing an array of aspects of education abroad -
including intercultural communication, changing relationships, and
career impact - Coming Home Your Way will be an invaluable tool for
any student planning, experiencing, or returning from a stay
abroad. Drawing from theory and research from multiple disciplines,
and real-world experiences of students who have studied abroad, the
volume addresses key themes critical to understanding reentry,
including individual differences in taking in experience,
communication patterns and approaches, the reentry transition, the
nature of relationships in reentry, bridging reentry and career,
and more. Within each chapter are opportunities for self-reflection
that allow readers to integrate the ideas presented into their own
experience. Compelling short fictional accounts add flavor and
detail that bring theory to life. Coming Home Your Way provides a
window into the complex experience of intercultural reentry.
Reentry from an education-abroad experience can be a period of
intense growth, and can feel disruptive and confusing while it's
happening. The authors explain and explore these complexities in a
conversational style that will engage students, and with the rigor
expected by their instructors. Like no other book currently on the
market, Coming Home Your Way will give college and university
students insight into the challenges and intercultural
opportunities that reentry offers.
This book presents a self-contained introduction to H.M. Stark
's remarkable conjectures about the leading term of the Taylor
expansion of Artin 's L-functions at s=0. These conjectures can be
viewed as a vast generalization of Dirichlet 's class number
formula and Kronecker 's limit formula. They provide an unexpected
contribution to Hilbert 's 12th problem on the generalization of
class fields by the values of transcendental functions. This volume
belongs on the shelf of every mathematics library.
This book consists of three parts, rather different in level and
purpose. The first part was originally written for quantum
chemists. It describes the correspondence, due to Frobenius,
between linear representations and characters. The second part is a
course given in 1966 to second-year students of l'Ecole Normale. It
completes in a certain sense the first part. The third part is an
introduction to Brauer Theory.
The aim of this book is to provide a systematic and practical
account of methods of integration of ordinary and partial
differential equations based on invariance under continuous (Lie)
groups of trans formations. The goal of these methods is the
expression of a solution in terms of quadrature in the case of
ordinary differential equations of first order and a reduction in
order for higher order equations. For partial differential
equations at least a reduction in the number of independent
variables is sought and in favorable cases a reduction to ordinary
differential equations with special solutions or quadrature. In the
last century, approximately one hundred years ago, Sophus Lie tried
to construct a general integration theory, in the above sense, for
ordinary differential equations. Following Abel's approach for
algebraic equations he studied the invariance of ordinary
differential equations under transformations. In particular, Lie
introduced the study of continuous groups of transformations of
ordinary differential equations, based on the infinitesimal
properties of the group. In a sense the theory was completely
successful. It was shown how for a first-order differential
equation the knowledge of a group leads immediately to quadrature,
and for a higher order equation (or system) to a reduction in
order. In another sense this theory is somewhat disappointing in
that for a first-order differ ential equation essentially no
systematic way can be given for finding the groups or showing that
they do not exist for a first-order differential equation."
This text systematically presents the basics of quantum mechanics,
emphasizing the role of Lie groups, Lie algebras, and their unitary
representations. The mathematical structure of the subject is
brought to the fore, intentionally avoiding significant overlap
with material from standard physics courses in quantum mechanics
and quantum field theory. The level of presentation is attractive
to mathematics students looking to learn about both quantum
mechanics and representation theory, while also appealing to
physics students who would like to know more about the mathematics
underlying the subject. This text showcases the numerous
differences between typical mathematical and physical treatments of
the subject. The latter portions of the book focus on central
mathematical objects that occur in the Standard Model of particle
physics, underlining the deep and intimate connections between
mathematics and the physical world. While an elementary physics
course of some kind would be helpful to the reader, no specific
background in physics is assumed, making this book accessible to
students with a grounding in multivariable calculus and linear
algebra. Many exercises are provided to develop the reader's
understanding of and facility in quantum-theoretical concepts and
calculations.
Signs of Identity presents an interdisciplinary introduction to
collective identity, using insights from social psychology,
anthropology, sociology and the humanities. It takes the basic
concept of semiotics - the sign - as its central notion, and
specifies in detail in what ways identity can be seen as a sign,
how it functions as a sign, and how signs of identity are related
to those who have that identity. Recognizing that the sense of
belonging is both the source of solidarity and discrimination, the
book argues for the importance of emotional attachment to
collective identity. The argument is supported by a large number of
real-life examples of how collective emotions affect group
formation, collective action and inter-group relations. By
addressing the current issues of authenticity and the Self,
multiculturalism, intersectionality and social justice, the book
helps to stimulate discussion of the contested topics of identity
in contemporary society.
Originally published in 1963, this book was one of the first to
explore group process and working with groups. The introductory
chapter tells us that working with groups requires three skills:
and understanding of theory, a knowledge of its application, and
trained experience in its use. It goes on to discuss these points,
helping the reader towards an understanding of group processes and
making decisions in groups. This title is an early example of
author's explorations of groups and group work, which were to be a
major factor in the establishment of group-work practice in Britain
over the following years.
Based on research focusing on the experience of having confused
speech and being with confused speakers, this book begins with
everyday, commonly understood ideas such as "talking too much" and
examines how confused speech is "brought off" as a collaborative
activity by the people involved. The author became involved in this
project because she was interested in how "confusion" seemed to be
something that everyone is not only involved in but also recognizes
as part of ordinary life. At the same time, "confusion" is a word
that is used somewhat as a blanket category for some people
considered permanently incompetent and "set apart" from ordinary
members of society. Her study analyzes how talk between confused
and normal speakers throws light on this tension.
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